Hereditary finitely generated algebras satisfying a polynomial identity
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- by Ellen E. Kirkman and James Kuzmanovich PDF
- Proc. Amer. Math. Soc. 83 (1981), 461-466 Request permission
Abstract:
If $\Lambda$ is a right and left p.p. ring which satisfies a polynomial identity and is a finitely generated algebra over its center, then $\Lambda \simeq \Gamma \times \Omega$, where $\Gamma$ is a semiprime ring having a von Neumann regular classical quotient ring which is module-finite over its center and $\Omega$ has nonzero prime radical at each of its Pierce stalks. If $\Lambda$ is right and left hereditary, then $\Gamma$ is an order over a commutative hereditary ring in the sense of [7]; the ring $\Omega$ is then a direct product of finitely many indecomposable piecewise domains.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 461-466
- MSC: Primary 16A14; Secondary 16A38
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627670-5
- MathSciNet review: 627670